ecology of phasmids - KLUEDO - Universität Kaiserslautern
ecology of phasmids - KLUEDO - Universität Kaiserslautern
ecology of phasmids - KLUEDO - Universität Kaiserslautern
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Community structure & host range 15<br />
was available for each <strong>of</strong> these months. I tested for temporal heterogeneity <strong>of</strong> absolute abundances by<br />
comparing observed and expected abundances in Chi-Square Goodness-<strong>of</strong>-Fit Tests (GOF). Although<br />
data for phasmid abundances may not be independent, e.g. because <strong>of</strong> contagiousness, GOF analysis is<br />
appropriate if the user is only interested in heterogeneity or homogeneity (Fowler et al. 1998).<br />
2.2.3.2 Estimating niche dimensions and overlap<br />
As one dimension <strong>of</strong> niche breadth, I assessed diet breadth using the potential food resources (i.e. plant<br />
families) registered along line-transects. Because none <strong>of</strong> the four tested phasmid species was<br />
specialized below the family level, all niche measures were expressed on the plant family level, i.e. each<br />
potential host plant family represented a resource state. As measure for uniformity <strong>of</strong> distribution <strong>of</strong><br />
individuals among the resource states I used Levin’s standardized measure <strong>of</strong> niche breadth BA:<br />
Equation 2-5<br />
B A<br />
B −1<br />
=<br />
n −1<br />
where BA = Levin’s standardized niche breadth<br />
B = Levin’s measure <strong>of</strong> niche breadth<br />
state j<br />
n = Number <strong>of</strong> possible resource states<br />
1<br />
B with pj = Proportion <strong>of</strong> individuals found in resource<br />
= 2<br />
p j<br />
∑<br />
Levin’s standardized measure <strong>of</strong> niche breadth ranges from 0 to 1. BA is maximal when a species does<br />
not discriminate among resource states.<br />
Overlap in the use <strong>of</strong> food niches among phasmid species was calculated by Pianka’s measure <strong>of</strong> niche<br />
overlap Ojk:<br />
Equation 2-6<br />
O<br />
jk<br />
=<br />
n<br />
∑ pij<br />
p<br />
2<br />
∑ pij∑<br />
where Ojk = Pianka’s measure <strong>of</strong> niche overlap between species j and species k<br />
pij = Proportion resource i is <strong>of</strong> the total resources used by species j<br />
pik = Proportion resource i is <strong>of</strong> the total resources used by species k<br />
Pianka’s measure <strong>of</strong> niche overlap ranges from 0 (complete separation <strong>of</strong> niches) to 1 (complete<br />
overlap).<br />
To describe overlap between realized food niche (i.e. potential host plant families from line-transects)<br />
and absolute food niche (i.e. plant families accepted in feeding-trials) I used Sørensen’s coefficient <strong>of</strong><br />
similarity SS:<br />
Equation 2-7<br />
SS<br />
2a<br />
=<br />
2a<br />
+ b + c<br />
where SS = Sørensen’s similarity coefficient<br />
a = Number <strong>of</strong> plant families recorded in line-transect and accepted in feeding-trials<br />
b = Number <strong>of</strong> plant families only recorded in line-transect records but not accepted in feeding-trials<br />
ik<br />
p<br />
2<br />
ik